Even though the odds of any of these actually being remade is slim to none, it is always good to hope.  If you pick a series with multiple entries like Star Ocean, please specify which game in particular you would like to see remade.  Personally I would like to see either Chrono Trigger or Star Ocean: A Second Story.  I know I missed some good JRPGs, these are just ones that came to me at the time.

EDIT:  When I say remade, I mean completely rebuilt from the ground up.  The story and characters should all stay true to the original, but graphically and mechanically the game should make the most of the PS4's capabilities.

Star Ocean 2

Legend of Dragoon

When you say "remade", do you mean as in a Remake(ala P4 Golden) or as in bringing back the series?
Remake:Chrono Trigger I guess
Bringing Back:Persona....preferably in the form of Persona 5

Chrono Trigger
Grandia
Xenogears
persona 3
wild arms

:)

Hm... probably Bahamut Lagoon. I would like to see what it looks like to feed a porno mag to a dragon with modern graphics.

Lunar would be nice too...

Chrono Trigger / Cross

Breath of Fire III.

Lunar 2 would be awesome to^^